Chapter 3.2, Problem 32PP

To determine

To Find: TheSekazi displacement using graph.

Answer to Problem 32PP

  $s=27\text{m}$

Explanation of Solution

Given:

Acceleration, $a=0.50{\text{m/s}}^2$ east for time $t=6\text{s}$

Then she continues to travel in east with velocity $v=3\text{ m/s}$ for next $6\text{s}$

Formula used:

Displacement = area under the velocity-time graph

Calculation:

  

Displacement can be calculated as:

Displacement = area of 1^st part + area of 2^nd part

  $\begin{array}{l}s=\left[\frac{1}{2}\left(3\right)\times 6\right]+\left[3\times 6\right]\\ s=27\text{m}\end{array}$

Conclusion:

  $s=27\text{m}$ is the displacement.